{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:L6AFLO5LDYX24BPVZIWXHN7PKP","short_pith_number":"pith:L6AFLO5L","schema_version":"1.0","canonical_sha256":"5f8055bbab1e2fae05f5ca2d73b7ef53da934b5729de935a8ed4d0efa806573e","source":{"kind":"arxiv","id":"2606.13525","version":1},"attestation_state":"computed","paper":{"title":"Generalized Exact Fractional Quantum Information Model with Memory Effects","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Abdelmalek Bouzenada, Allan R. P. Moreira","submitted_at":"2026-06-11T16:15:29Z","abstract_excerpt":"In this paper, we analyze quantum information measures in fractional quantum mechanics using the Riemann-Liouville derivative formalism adopted here. In this case, we initially reconsider the conventional definitions of Shannon entropy and Fisher information, subsequently extending them to fractional quantum systems described by nonlocal differential operator frameworks adopted. Within this generalized formulation, fractional expressions of Shannon entropy and Fisher information are constructed and their mathematical structures examined thoroughly. Also, the formalism is then applied to the qu"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.13525","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-11T16:15:29Z","cross_cats_sorted":[],"title_canon_sha256":"b3d52590d2d4d2f89cb7f3e22f6f76433bc43d71baa56bebd65d76068a25d51c","abstract_canon_sha256":"088f9f49ed33246d45ee91c682a701bdfc1d5ad0cacbc8a47efc60dc4b07e70a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T01:10:08.332349Z","signature_b64":"ipXi7NdLKGTggcvBX+biHldly0mAv2wcHYj77rk8qxK8pfCfoF3yC2gAfePwhpNEZLq3y9IuWqJ9G+LvcOV5Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f8055bbab1e2fae05f5ca2d73b7ef53da934b5729de935a8ed4d0efa806573e","last_reissued_at":"2026-06-12T01:10:08.331498Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T01:10:08.331498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Exact Fractional Quantum Information Model with Memory Effects","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Abdelmalek Bouzenada, Allan R. P. Moreira","submitted_at":"2026-06-11T16:15:29Z","abstract_excerpt":"In this paper, we analyze quantum information measures in fractional quantum mechanics using the Riemann-Liouville derivative formalism adopted here. In this case, we initially reconsider the conventional definitions of Shannon entropy and Fisher information, subsequently extending them to fractional quantum systems described by nonlocal differential operator frameworks adopted. Within this generalized formulation, fractional expressions of Shannon entropy and Fisher information are constructed and their mathematical structures examined thoroughly. Also, the formalism is then applied to the qu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13525","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.13525/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.13525","created_at":"2026-06-12T01:10:08.331624+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.13525v1","created_at":"2026-06-12T01:10:08.331624+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13525","created_at":"2026-06-12T01:10:08.331624+00:00"},{"alias_kind":"pith_short_12","alias_value":"L6AFLO5LDYX2","created_at":"2026-06-12T01:10:08.331624+00:00"},{"alias_kind":"pith_short_16","alias_value":"L6AFLO5LDYX24BPV","created_at":"2026-06-12T01:10:08.331624+00:00"},{"alias_kind":"pith_short_8","alias_value":"L6AFLO5L","created_at":"2026-06-12T01:10:08.331624+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L6AFLO5LDYX24BPVZIWXHN7PKP","json":"https://pith.science/pith/L6AFLO5LDYX24BPVZIWXHN7PKP.json","graph_json":"https://pith.science/api/pith-number/L6AFLO5LDYX24BPVZIWXHN7PKP/graph.json","events_json":"https://pith.science/api/pith-number/L6AFLO5LDYX24BPVZIWXHN7PKP/events.json","paper":"https://pith.science/paper/L6AFLO5L"},"agent_actions":{"view_html":"https://pith.science/pith/L6AFLO5LDYX24BPVZIWXHN7PKP","download_json":"https://pith.science/pith/L6AFLO5LDYX24BPVZIWXHN7PKP.json","view_paper":"https://pith.science/paper/L6AFLO5L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.13525&json=true","fetch_graph":"https://pith.science/api/pith-number/L6AFLO5LDYX24BPVZIWXHN7PKP/graph.json","fetch_events":"https://pith.science/api/pith-number/L6AFLO5LDYX24BPVZIWXHN7PKP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L6AFLO5LDYX24BPVZIWXHN7PKP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L6AFLO5LDYX24BPVZIWXHN7PKP/action/storage_attestation","attest_author":"https://pith.science/pith/L6AFLO5LDYX24BPVZIWXHN7PKP/action/author_attestation","sign_citation":"https://pith.science/pith/L6AFLO5LDYX24BPVZIWXHN7PKP/action/citation_signature","submit_replication":"https://pith.science/pith/L6AFLO5LDYX24BPVZIWXHN7PKP/action/replication_record"}},"created_at":"2026-06-12T01:10:08.331624+00:00","updated_at":"2026-06-12T01:10:08.331624+00:00"}